Home
Class 12
PHYSICS
The rear side of a truck is open and a b...

The rear side of a truck is open and a box of 40 kg mass is placed 5 m from the openend as shown The coefficient of friction between the box and the surface below it is 0.15 On a straight road the truck starts from rest and accelerates with `2 ms^(-2)` At what distance from the starting point does the box fall off the truck ? (Ignore the size of the box )
.

Text Solution

Verified by Experts

In the reference frame of the truck FBD of 40kg block

Net force `rArr ma -mu N rArr 40 xx2 - (15)/( 100) xx 40 xx 10 `
`ma_("block") rArr 80-60 rArr a_("block") = ( 20)/( 40) =(1)/(2) m//s^(2)`
This acceleration of the block in reference frame of truck so time taken by box to fall down from truck
`S_("rel") = u_("rel")t + ( 1)/( 2) a_("rel") t^(2) rArr 5= 0 + (1)/(2) xx (1)/(2) xxt^(2) rArrt^(2) = 20`
So distance moved by the truck
`rArr (1)/(2) xx a_("truck") xx t^(2)`
`rArr (1)/(2) xx 2 xx(20) = 20 ` meter
Promotional Banner

Topper's Solved these Questions

  • NLM & FRICTION

    MOTION|Exercise EXERCIS-1|80 Videos

  • NLM & FRICTION

    MOTION|Exercise EXERCISE-2|66 Videos

  • NLM & FRICTION

    MOTION|Exercise EXAMPLE|47 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    MOTION|Exercise Exercise - 3 Section-B|12 Videos

  • ONE DIMENSION MOTION

    MOTION|Exercise Exercise - 3 |Section - B Previous Year Problems | JEE MAIN|12 Videos

Similar Questions

Explore conceptually related problems

The rear side of a truck is open and a box of 40 kg mass is placed 5 m from the open end The coefficient of friction between the box and the surface below it is 0.15 On a straight road the truck starts from rest and accelerates with 2 m//s^(2) At what distance from the starting point does the box fall off the truck ? Ignore the size of the box .

The rear side of a truck is open. A box of 40kg mass is placed 5m away from the open end as shown in figure. The coefficient of friction between the box and the surface is 0.15 . On a straight road, the truck starts from rest and accel erating with 2m//s^(2) . At what distance from the starting point does the box fall off the truck? Ignore the size of the box

The rear side of a truck is open A box of 40kg mass is placed 5m away from the open end as shown in The coefficient of friction between the box and the surface is 0.15. On a straight road, the truck starts from rest and accel erating with 2m//s^(2) . At what dis tance from the starting point does the box dis-tance from the starting point does the box fall from the truck? (Ignore the size of the box) .

The rear side of a truck is open and a box of mass 20kg is placed on the truck 4 meters away from the open end coofficent of friction between truck and block is 0.15 the truck starts from rest with an acceleration of 2m//sec^(2) on a straight road The box will fall off the truck when truck is at a distance from the starting point equal to (g=10m//s^(2))

The rear side of a truck is open and a box of mass 20kg is placed on the truck 4m away from the open end mu = 0.15 and g = 10m//s^(2) The truck starts from rest with an acceleration of 2m//s^(2) on a straight road The box will fall off the truck when it is at a distance from the starting point equal to .

The rear side of a truck is open and a box of mass 2 kg is placed on the truck 8 meters away from the open end. mu = 0.1 and g = 10 m//s^(2) . The truck starts from rest with an acceleration of 2 m//s^(2) on a straight road. The box will fall off the truck when it is at distance from the starting point equal to

A box mass m kg is placed on the rear side of an open truck acceleration at 4ms^(-2) . The coefficient of friction between the box ant the surface below it is 0.4 . The net acceleration of the box with respect to the truck is zero. The value of m is.

The rear side of a truck is open ad a box of mass 20 kg is placed on the truck 4 m away from the open rnd mu=0.15 and g=10 m//s^(2) The truck starts rest with an acceleeration of 2 m//s^(2) on a straight r9oad .The box will fall off the truck when it is at a distance from the staring point equal to (4x) meter fond value of x.